EuDML | Browse

Page 1

Displaying 1 – 6 of 6

Calculating the Mordell-Weil rank of elliptic threefolds and the cohomology of singular hypersurfaces

Klaus Hulek, Remke Kloosterman (2011)

Annales de l’institut Fourier

In this paper we give a method for calculating the rank of a general elliptic curve over the field of rational functions in two variables. We reduce this problem to calculating the cohomology of a singular hypersurface in a weighted projective $4$ -space. We then give a method for calculating the cohomology of a certain class of singular hypersurfaces, extending work of Dimca for the isolated singularity case.

Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces.

Lothar Göttsche (1996)

Mathematische Zeitschrift

Characterizing Moisezon Spaces by Almost Positive Coherent Analytic Sheaves.

Oswald Riemenschneider (1971)

Mathematische Zeitschrift

Cobordism of algebraic knots via Seifert forms.

Philippe Du Bois, Francoise Michel (1993)

Inventiones mathematicae

Construction d'hypersurfaces réelles

Jean-Jacques Risler (1992/1993)

Séminaire Bourbaki

Curves on a ruled cubic surface.

John Brevik, Francesco Mordasini (2003)

Collectanea Mathematica

For the general ruled cubic surface S (with a double line) in P3 = P3 sub k, k any algebraically closed field, we find necessary conditions for which curves on S can be the specialization of a flat family of curves on smooth cubics. In particular, no smooth curve of degree > 10 on S is such a specialization.